Name:______________________________ Period:_____________________
Complete each of the following wave problems by first writing the equation. Next
re-write the equation with the known variables. Finally, solve the equation and put
a box around the correct answer. Velocity= wavelength x frequency. Frequency is
measured in Hertz (Hz), wavelength is in meters and velocity is in m/s.
1. What is the velocity if the wavelength is 8m and the frequency is 20 Hz?
2. What is the wavelength if v=50 m/s and f= 25 Hz?
3. What is the frequency if v=50 m/s and the wavelength =10m?
4. What is the velocity of the wavelength = 1m and the frequency=345 Hz?
5. What is the wavelength of a wave with a speed of 100 m/s and a frequency
of 3 Hz?
6. What is the frequency of a wave with a speed of 120 m/s and a wavelength
of 3 m?
7. Use a velocity of sound at 343 m/s and the given frequencies of a piano
scale to compute the wavelength for each note.
Note
Frequency
C4
Wavelength
Note
Frequency
261.6
G4
392
D4
293.6
A4
440
E4
329.6
B4
493.9
F4
349.2
C5
523.2
Wavelength
8. What is the relationship of the frequencies of notes C4 and
C5?______________________________________________________
9. What is the relationship of the wavelengths of notes C4 and
C5?______________________________________________________
10. What happened to the wavelength as the frequency increased between notes
C4 and C5?________________________________________________
11. A dog whistle is designed to produce a sound with a frequency beyond that
which can be heard by humans. If a particular whistle produces a sound with
a frequency of 2.5 x 104 Hz, what is the sound’s wavelength? (V=331 m/s)
12. The lowest pitch that the average human can hear had a frequency of 20 Hz.
If sound with this frequency travels through air with a speed of 331 m/s,
what is the wavelength?
13. Cicadas produce a buzzing sound that has a wavelength of 2.69m. If the
speed of sound in air is 346 m/s, what is the frequency of sound produced by
a cicada?
14. A dolphin can typically hear sounds with frequencies up to 150 x 10 3 Hz.
What is the speed of sound in water if a wave with this frequency has a
wavelength of 0.01m?